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Finding the Third Proportional to 583,659 and 1,257,376.50

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Solution

The third proportional to 583,659 and 1,257,376.50 is: 2,708,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,659 : 1,257,376.50 = 1,257,376.50 : x
  2. Step 2: Convert to fraction form
    583,659/1,257,376.50 = 1,257,376.50/x
  3. Step 3: Cross multiply
    583,659x = 1,257,376.50 × 1,257,376.50
  4. Step 4: Simplify right side
    583,659x = 1,580,995,662,752.25
  5. Step 5: Solve for x
    x = 1,580,995,662,752.25/583,659
  6. Step 6: Final answer
    x = 2,708,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.